Biblioteca de la Universidad Complutense de Madrid

On the approximate controllability of variational inequalities and others nonlinear parabolic problems

Impacto



Díaz Díaz, Jesús Ildefonso (1991) On the approximate controllability of variational inequalities and others nonlinear parabolic problems. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 312 (7). pp. 519-522. ISSN 0764-4442

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Resumen

We show how the approximate controllability of nonlinear parabolic problems may fail although it is a well-known property for linear equations. For the case of the obstacle problem the answer depends on the negativeness of the righ hand side term and for semilinear equations it depends on the sub or superlinear character at the infinity of the nonlinear term.


Tipo de documento:Artículo
Palabras clave:approximate controllability; nonlinear parabolic problems; obstacle problem
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:16280
Referencias:

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T. I. SEIDMAN, Invariance of the reachable set under nonlinear perturbations, S.I.A.M. J. Control and Optimization, 25, 1987, p. 1173-1191.

L. VERON, Effets régularisants de semigroupes non linéaires dans les espaces de Banach, Annales Fac,des Sciences de Toulouse, I, 1979, p. 171-200.

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J. HENRY, Étude de la contrôlabilité de certaines équations paraboliques non linéaircs, These d'État,Université Paris-VI

Depositado:10 Sep 2012 08:08
Última Modificación:07 Feb 2014 09:26

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